His team is hoping for just that after it announced that Pagliuca will be representing the Celtics at the NBA draft lottery May 20 in New York.

This season, after finishing with a 25-57 record, which was tied with Utah for fourth-worst in the league, the Celtics will have a 10.3 percent chance at the top pick and a 33.4 percent chance of a top-three pick.

But the Celtics have been burned in the lottery before — including the last time they were in it.

In 2007, they had a 19.9 percent chance at the top pick and a 55.8 percent chance at a top-three pick after finishing with the league’s second-worst record (24-58).

Instead, they fell to the fifth spot in the draft.

Tom Heinsohn represented the Celtics at that lottery, and Celtics fans hope Pagliuca can bring them more luck this time around. As a good luck charm, Pagliuca said he’s planning on wearing a tie that Celtics patriarch Red Auerbach gave him in 2002 when a group that included Pagliuca bought the team.

It’s an older tie, Pagliuca said, perhaps from the 1950s, and it’s blue with a green stripe.

“I think it even has a little leprechaun on it,” he said.

Pagliuca said he’s also open to any suggestions.

“I’m excited,” he said. “It should be fun.”

The Celtics will have a second pick in the first round, No. 17, which they received from the Brooklyn Nets as part of the blockbuster deal last summer.